87568128 has 180 divisors, whose sum is σ = 270077808. Its totient is φ = 28200960.

The previous prime is 87568121. The next prime is 87568133. The reversal of 87568128 is 82186578.

87568128 is a `hidden beast` number, since 87 + 568 + 1 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87568121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 850125 + ... + 850227.

Almost surely, 2^87568128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135038904).

87568128 is an abundant number, since it is smaller than the sum of its proper divisors (182509680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87568128 is a wasteful number, since it uses less digits than its factorization.

87568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 87568128 is about 9357.7843531468. The cubic root of 87568128 is about 444.0671921685.

The spelling of 87568128 in words is "eighty-seven million, five hundred sixty-eight thousand, one hundred twenty-eight".